ParametricDerivative Command

ParametricDerivative( <Curve> ): Returns a new parametric curve given by $\left( x(t), \frac{y'(t)}{ x'(t)} \right)$ .

ParametricDerivative(Curve(2t, t², t, 0, 10)) returns the parametric curve (x(t) = 2t, y(t) = t). The curve given as argument to the command is the function f(x) = $\frac{x²}{4}$ , and the result is the derivative of that function: f'(x) = $\frac{x}{2}$ .